The first term of set r is 15. what is the median value of the set r, if for every term in the set, rn = rn–1 + 3?

Step-by-step explanation:

The first thing to identify is that this one is a consecutive set, meaning that the increment between each number is the same, in this case, an increment of 3 between each number, when sets have this type of behavior, and only on these cases, the mean and the median are the same, let's look at some examples:

[2, 4, 6, 8, 10, 12]

The mean would be:

mean==7

Since the number of elements is even, the median would be the average of the two middle terms:

median==7

As you can see mean=median

There is one more thing to help you in this exercise, for consecutive sets, the mean can also be calculated by the formula:

Where is the first term of the set and is the last.

If we ran this formula with the set i used as an example:

mean=.

So applying all of that to the set given we would have:

i can you, i love poetry

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: